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Published in:
2014 | OriginalPaper | Chapter
PGD-Based Model Reduction for Surgery Simulation: Solid Dynamics and Contact Detection
Authors : Carlos Quesada, Icíar Alfaro, David González, Elías Cueto, Francisco Chinesta
Published in: Biomedical Simulation
Publisher: Springer International Publishing
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We present here an analysis of the possible advantages of using
a priori
model order reduction techniques for real-time simulation in computational surgery. Special attention will be paid to methods based upon Proper Generalized Decomposition techniques. These techniques allow for impressive savings in on-line computations by obtaining off-line a reduced-order approach to the problem at hand. This approach can be seen as a particular instance of meta-model, response surface or —as we have coined it— a sort of
computational vademecum
. In this work we detail the approach followed for the implementation of essential aspects in computational surgery, such as solid dynamics and contact detection.